On the effect of weak disorder on the density of states in graphene
arXiv:0711.3748 · doi:10.1103/PhysRevB.77.115422
Abstract
The effect of weak potential and bond disorder on the density of states of graphene is studied. By comparing the self-consistent non-crossing approximation on the honeycomb lattice with perturbation theory on the Dirac fermions, we conclude, that the linear density of states of pure graphene changes to a non-universal power-law, whose exponent depends on the strength of disorder like 1-4g/sqrt{3}t^2π, with g the variance of the Gaussian disorder, t the hopping integral. This can result in a significant suppression of the exponent of the density of states in the weak-disorder limit. We argue, that even a non-linear density of states can result in a conductivity being proportional to the number of charge carriers, in accordance with experimental findings.
7 pages, 5 figures
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- Disorder-induced phase transition in Dirac systems beyond the linear approximation
- Impurity effects and bandgap-closing in massive Dirac systems
- Suppression of magnetotransport in strongly disordered graphene
- Charge Density Wave Phase Transition on the Surface of Electrostatically Doped Multilayer Graphene